Compound Interest Calculator
Calculate future investment growth, interest earned, and compound compounding frequency breakdown.
Parameters
About this Calculation
Calculate future investment growth, interest earned, and compound compounding frequency breakdown.
Compound Interest Calculator Formula
Compound interest calculates interest not only on the initial principal balance, but also on the accumulated interest from prior periods.
AFinal accrued maturity balancePInitial principal balance investedrAnnual nominal interest rate (in decimal format)nCompounding frequency per year (e.g. 12 for monthly, 4 for quarterly)tTime duration in years- 1Convert annual interest rate percentage into decimal form (r = Rate % / 100).
- 2Divide decimal rate by compounding frequency: periodic rate = r / n.
- 3Add 1 to the periodic rate to obtain the base compounding growth factor: (1 + r/n).
- 4Calculate the total number of compounding cycles: total cycles = n × t.
- 5Raise the base growth factor to the total compounding cycles power.
- 6Multiply by the initial principal P to find final maturity balance A.
Worked Example: Real-time Evaluation
Mathematical Execution: Using the active input parameters, the in-browser execution engine evaluates the mathematical formula with zero latency.
Frequently Asked Questions
Assumptions & Accuracy
- Assumes standard standard-state values
- Rounded to standard decimal precision
Accuracy Note: Accurate to standard floating point precision.
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